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3 years ago

Given a sphere with a radius of 7.5 ft.

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

Answer:

volume of the sphere is V=1766.25 $ft^{3}$

Step-by-step explanation:

step:1

<u>The volume of the sphere formula is V= $\frac{4 pi r^{3} }{n}$ </u>

Given radius of the sphere r=7.5 ft

substitute given radius r=7.5 ft value in volume of the sphere formula

$V=[tex]\frac{4 pi r^{3} }{n}$ \\

V=\frac{4(3.14)(7.5)^{3} }{3}[/tex]

V=1766.25 $ft^{3}$

Final answer is V=1766.25 $ft^{3}$

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Help find domain and range

kolezko [41]

Answer:

d: 4 r:5

Step-by-step explanation:

for domain the x coordinates doesn't go over -2 on the left or 2 on the right so if u add the units of the space in between it's 4 since 2- (-2)=4

for the range, the y coordinates never goes over 3 or -2 so range is 5 is u add the units in between

I hope that makes sense!

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3 years ago

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3 years ago

Write an equality that represents the phrase "the sum of 4 and x is greater than 6." Draw a graph that represents the inequality

Romashka [77]

Answer:

(4+x)>6

See "the sum of 4 and x" means '4+x' and "greater than 6" means the other number ,aka x which equals 4+x, is greater than six. So, the answer comes out to be (4+x)>6.

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3 years ago

If a light bulb manufacturing company wants to estimate, with 99% confidence, the mean life of compact fluorescent light bulb

Reptile [31]

Answer:

We need at least 217 compact fluorescent light bulbs

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

How many compact fluorescent light bulbs need to be selected?

We need at least n bulbs, in which n is found when $M = 175, \sigma = 1000$

$M = z*\frac{\sigma}{\sqrt{n}}$

$175 = 2.575*\frac{1000}{\sqrt{n}}$

$175\sqrt{n} = 2575$

$\sqrt{n} = \frac{2575}{175}$

$\sqrt{n} = 14.71$

$\sqrt{n}^{2} = (14.71)^{2}$

$n = 216.5$

We need at least 217 compact fluorescent light bulbs

4 0

3 years ago

Read 2 more answers

What is the ratio of the two values and what new value do they produce?

QveST [7]

The required ratio is give by $40/m, 4 miles/min, 30 mile/liter. .

Let, just assume a vehicle is given an economy of $280 of 7m.

<h3>
What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. E.g.- water in milk.

Now,
The ratio can be given as for economy = 280/7
= $40/m

here for new values,
suppose the vehicle travel for 40miles in 10 mins
ratio = 40/10= 4 miles/min
and vehicle consumes 2 liter fuel on 60 miles of distance ratio can be given as
ratio = 60/2 = 30 mile/liter.

Thus the required ratios can be given as $40/m, 4 miles/min, 30 mile/liter.

Learn more about Ratio here:
brainly.com/question/13419413

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6 0

2 years ago